Next:
Sign on to new admin account.
Click on the apple in the top left corner.
Click on System Preferences.
Click on Accounts.
Click on lock to unlock so changes can be made.
Enter new admin password to approve changes being made.
Click on old admin account.
Click on Password.
Click on Reset Password.
Enter new password. (Does not ask for old or current password.)
Re-enter password to verify.
Enter password hint.
Click Reset Password.
Click on lock so information will be secured.

Next:
Sign off of new admin.
Sign on to old admin with new password.
Check if all your info, documents, bookmarks, are there.
(All my stuff was there.)

Next, and last:
Go to the list of users.
Delete new admin if you want.